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Finding the Fourth Proportional to 8,211, 11,331.90 and 4,674.36

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Solution

The fourth proportional to 8,211, 11,331.90 and 4,674.36 is: 6,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 11,331.90 = 4,674.36 : x
  2. Step 2: Convert to fraction form
    8,211/11,331.90 = 4,674.36/x
  3. Step 3: Cross multiply
    8,211x = 11,331.90 × 4,674.36
  4. Step 4: Simplify right side
    8,211x = 52,969,380.08
  5. Step 5: Solve for x
    x = 52,969,380.08/8,211
  6. Step 6: Final answer
    x = 6,451.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.